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Finding the Fourth Proportional to 643,977.01, 965,978.62 and 264,848.47

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Solution

The fourth proportional to 643,977.01, 965,978.62 and 264,848.47 is: 397,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,977.01 : 965,978.62 = 264,848.47 : x
  2. Step 2: Convert to fraction form
    643,977.01/965,978.62 = 264,848.47/x
  3. Step 3: Cross multiply
    643,977.01x = 965,978.62 × 264,848.47
  4. Step 4: Simplify right side
    643,977.01x = 255,837,962,223.03
  5. Step 5: Solve for x
    x = 255,837,962,223.03/643,977.01
  6. Step 6: Final answer
    x = 397,278.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.